Results 71 to 80 of about 552,780 (265)
Joint universality of some zeta-functions. I
Lietuvos Matematikos Rinkinys, 2010 In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė +1 more
doaj +1 more source
Riemann zeros from Floquet engineering a trapped-ion qubit
npj Quantum Information, 2021 The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos
Ran He +8 more
doaj +1 more source
A discrete mean value of the derivative of the Riemann zeta function [PDF]
arXiv, 2007 In this article we compute a discrete mean value of the derivative of the Riemann zeta function. This mean value will be important for several applications concerning the size of $\zeta'(\rho)$ where $\zeta(s)$ is the Riemann zeta function and $\rho$ is a non-trivial zero of the Riemann zeta function.
arxiv
Scalar modular bootstrap and zeros of the Riemann zeta function
Journal of High Energy Physics, 2022 Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1) c symmetry. From this crossing equation, we derive bounds on the scalar gap of
Nathan Benjamin, Cyuan-Han Chang
doaj +1 more source
Analysis of the Riemann zeta function [PDF]
arXiv, 2019 The main result of the paper is a definition of possible ways of the confirmation of the Riemann hypothesis based on the properties of the vector system of the second approximate equation of the Riemann Zeta function. The paper uses a feature of calculating the Riemann Zeta function in the critical strip, where its approximate value is determined by ...
arxiv
An integral representation for $ζ(4)$ [PDF]
arXiv, 2023 In this note, we propose an integral representation for $\zeta(4)$, where $\zeta$ is the Riemann zeta function. The corresponding expression is obtained using relations for polylogarithms. A possible generalization to any even argument of the zeta function is considered.
arxiv
Statistical disaggregation—A Monte Carlo approach for imputation under constraints
Scandinavian Journal of Statistics, EarlyView.Abstract Equality‐constrained models naturally arise in problems in which the measurements are taken at different levels of resolution. The challenge in this setting is that the models usually induce a joint distribution which is intractable. Resorting to instead sampling from the joint distribution by means of a Monte Carlo approach is also ...
Shenggang Hu +5 more
wiley +1 more source
On the mean square of the periodic zeta-function. II
Nonlinear Analysis, 2015 In the paper, the error term in the Atkinson type formula for the periodic zeta-function in the critical strip is considered, and an asymptotic formula for its mean square is obtained. This formula generalizes that proved for the Riemann zeta-function.
Sondra Černigova, Antanas Laurinčikas
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9920-9933, June 2025.ABSTRACT In this article, we provided fixed‐point results for (Θ,G1)$$ \left(\Theta, {G}_1\right) $$‐quasirational contraction and (Θ,G2)$$ \left(\Theta, {G}_2\right) $$‐quasirational contraction within the setting of triple controlled metric‐like spaces.
Sadia Farooq +3 more
wiley +1 more source
La Zeta de Riemann est irrationnelle aux impairs positifs [PDF]
arXiv, 2018 We found, by Hurwitz's Zeta Function, a new functional equation for Riemann Zeta Function. Considering this equation for $s=2$ and $s=1$, we determine a relation between the values of Riemann zeta Function on positive integers. The Matrix has two dimensions, and the second member is the vector (1, $-\zeta(2)$).
arxiv